4 papers · 1 filter
The computation of the non-commutative generalization of the A-polynomial for the figure-eight knot
Razvan Gelca, Jeremy Sain
The paper contains the computation of the noncommutative A-ideal of the figure-eight knot, a noncommutative generalization of the A-polynomial. We show that if a knot has the same…
The noncommutative A-ideal of a (2,2p+1)-torus knot determines its Jones polynomial
Razvan Gelca, Jeremy Sain
The noncommutative A-ideal of a knot is a generalization of the A-polynomial, defined using Kauffman bracket skein modules. In this paper we show that any knot that has the same no…
Noncommutative trigonometry and the A-polynomial of the trefoil knot
Razvan Gelca
The paper shows the computation of the noncommutative generalization of the A-polynomial of the trefoil knot. The classical A-polynomial was introduced by Cooper, Culler, Gillet, L…
On the groupoid of transformations of rigid structures on surfaces
Louis Funar, Razvan Gelca
We prove that the groupoid of transformations of rigid structures on surfaces has a finite presentation as a 2-groupoid establishing a result first conjectured by G.Moore and N.Sei…